Results 11 to 20 of about 12,082,846 (215)
On the extended Euler system and the Jacobi and Weierstrass elliptic functions
Journal of Geometric Mechanics, 2015 We study the extended Euler systems (EES) as an initial value problem. Particular realizations of it lead to several Lie-Poisson structures. We consider a 6-D Poisson structure that fit all of them together.
FRANCISCO Crespo, Sebastian Ferrer
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On the Solution of a Conformal Mapping Problem by Means of Weierstrass Functions [PDF]
Computational Mathematics and Mathematical Physics, 2022 The conformal mapping problem for the section of a channel filled with porous material under a rectangular dam onto the upper half-plane is considered. Similar problems arise in computing of fluid flow in hydraulic structures.
M. Smirnov
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Kerr geodesics in terms of Weierstrass elliptic functions [PDF]
Physical Review D, 2023 We derive novel analytical solutions describing timelike and null geodesics in the Kerr spacetime. The solutions are parameterized explicitly by constants of motion -- the energy, the angular momentum, and the Carter constant -- and initial coordinates ...
Adam Cieślik, E. Hackmann, P. Mach
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Fractal Calculus on Fractal Interpolation Functions
Fractal and Fractional, 2021 In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus.
Arulprakash Gowrisankar +2 more
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Revisiting timelike and null geodesics in the Schwarzschild spacetime: general expressions in terms of Weierstrass elliptic functions [PDF]
Classical and quantum gravity, 2022 The theory of Schwarzschild geodesics is revisited. Basing on a result by Weierstrass and Biermann, we derive a formula describing all non radial, timelike and null trajectories in terms of Weierstrass elliptic functions.
Adam Cie'slik, P. Mach
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The Qualitative Behaviour of Newton Flows for Weierstrass’ ℘-Functions
Complex Variables and Elliptic Equations, 2002 F Twilt
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N $$ \mathcal{N} $$ = 2* Schur indices
Journal of High Energy Physics, 2023 We find closed-form expressions for the Schur indices of 4d N $$ \mathcal{N} $$ = 2* super Yang-Mills theory with unitary gauge groups for arbitrary ranks via the Fermi-gas formulation. They can be written as a sum over the Young diagrams associated with
Yasuyuki Hatsuda, Tadashi Okazaki
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Approximate Analytical and Numeric Solutions to a Forced Damped Gardner Equation
The Scientific World Journal, 2022 In this paper, some exact traveling wave solutions to the integrable Gardner equation are reported. The ansatz method is devoted for deriving some exact solutions in terms of Jacobi and Weierstrass elliptic functions.
Alvaro H. Salas +2 more
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European Physical Journal C: Particles and Fields, 2023 The time like structure of the five-dimensional Schwarzschild and Reissner–Nordström anti-de Sitter black holes is studied in detail. Different kinds of motion are allowed and studied by using an adequate effective potential.
P. A. González +3 more
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Boundary values of harmonic gradients and differentiability of Zygmund and Weierstrass functions [PDF]
, 2012 We study differentiability properties of Zygmund functions and series of Weierstrass type in higher dimensions. While such functions may be nowhere differentiable, we show that, under appropriate assumptions, the set of points where the incremental ...
J. J. Donaire +2 more
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